Calculation of cracks in metal structures of transport infrastructure facilities
https://doi.org/10.17586/0021-3454-2022-65-6-451-456
Abstract
An actual approach to solving problems of the theory of cracks related to the so-called “extremal problems of mechanics” is presented. The problem of “brittle fracture” for a flat element in the presence of a rectangular crack in it, is considered. An analysis of the fracture change dynamics is carried out based on a mathematical model in partial derivatives. The calculations are performed with specific parameters of the material, in particular aluminum, of the elastic element and the load. The obtained results lead to conclusion on importance of geometric arrangement of the elastic elements in metal products of objects of transport infrastructure monitoring.
Keywords
assessment of technical condition,
metal structures,
flaw detection,
Lipschitz boundaries,
theory of energy of shape change
Supporting agencies: The work was supported by the grant of the President of the Russian Federation No. MK- 5323.2022.4.
About the Authors
V. L. Tkalich
ITMO University
Russian Federation
Russian Federation
Vera L. Tkalich - Dr. Sci., Professor, Faculty of Secure Information Technologies
St. Petersburg
M. E. Kalinkina
ITMO University
Russian Federation
Russian Federation
Maria Е. Kalinkina - M. Sc., Faculty of Control Systems and Robotics
St. Petersburg
A. G. Korobeynikov
ITMO University; Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of the RAS
Russian Federation
Russian Federation
Anatoly G. Korobeynikov - Dr. Sci., Professor, Faculty of Secure Information Technologies; Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of the RAS, St. Petersburg Branch
St. Petersburg
O. I. Pirozhnikova
1ITMO University
Russian Federation
Russian Federation
Olga I. Pirozhnikova - PhD, Faculty of Secure Information Technologies
St. Petersburg
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Review
For citations:
Tkalich V.L., Kalinkina M.E., Korobeynikov A.G., Pirozhnikova O.I. Calculation of cracks in metal structures of transport infrastructure facilities. Journal of Instrument Engineering. 2022;65(6):451-456. (In Russ.) https://doi.org/10.17586/0021-3454-2022-65-6-451-456
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